Question 1 The blade and the bearings are important parts of a lathe. The lathe

Question

Question 1 The blade and the bearings are important parts of a lathe. The lathe can operate only when both of them work properly. For one kind of lathe, the lifetime of the blade is exponentially distributed with the mean three years; the lifetime of the bearings is also exponentially distributed with the mean four years. Assume each lifetime is independent. Round your answer to four decimal places (e.g. 98.7654) What is the probability that the lathe will operate at least eight years? the tolerance is +/-2%

Explanation / Answer

P(lathe will operate at least 8 years) = P(blade operates atleast 8 years)*P(bearings operates atleast 8 years)

P(lathe operates atleast 8 years) = (1 e1/3*8)* (1 e1/4*8) = 0.8046

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